April 3 @ 3:00 pm - 4:00 pm

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In 2009, Eisenbud and Schreyer proved that extremal rays of Betti cone over a polynomial ring are spanned by Betti diagrams of pure Cohen-Macaulay R-modules. We discuss extremal rays of Betti cone over a standard graded k-algebra and their purity. In particular, we show that Koszulness is a necessary condition for the purity
of extremal rays.Discipline/Coordinating Entity: Mathematics